Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2014 Set-4 Questions with Answer
Ques 1 GATE 2014 Set-4
Which one of the following equations is a correct identity for arbitrary 3×3 real matrices P, Q and R?
Ques 2 GATE 2014 Set-4
The value of the integral
is
Ques 3 GATE 2014 Set-4
The solution of the initial value problem
dy/dx = -2xy; y(0)=2 is
Ques 4 GATE 2014 Set-4
A nationalized bank has found that the daily balance available in its savings accounts follows a normal distribution with a mean of Rs. 500 and a standard deviation of Rs. 50. The percentage of savings account holders, who maintain an average daily balance more than Rs. 500 is __________.
Ques 5 GATE 2014 Set-4
Laplace transform of cos(ωt) is s/(s2+ω2). The Laplace transform of e-2tcos(4t) is
Ques 6 GATE 2014 Set-4
If z is a complex variable, the value of an integral is given as ∫3i5 d(z) dz. What is its value?
Ques 7 GATE 2014 Set-4
The value of
is
Ques 8 GATE 2014 Set-4
The number of accidents occurring in a plant in a month follows Poisson distribution with mean as 5.2. The probability of occurrence of less than 2 accidents in the plant during a randomly selected month is
Ques 9 GATE 2014 Set-4
Consider an ordinary differential equation dx/dt = 4t+4. If x=x0 at t=0, the increment in x calculated using Runge-Kutta fourth order multi-step method with a step size of Δt=0.2 is
Ques 10 GATE 2014 Set-4
Which of the following options is the closest in meaning to the word underlined in the sentence below?
In a democracy, everybody has the freedom to disagree with the government.
Ques 11 GATE 2014 Set-4
After the discussion, Tom said to me, 'Please revert!'. He expects me to
Ques 12 GATE 2014 Set-4
While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word 'vindicated'?
Ques 13 GATE 2014 Set-4
Let f(x,y) = xnym = P. If x is doubled and y is halved, the new value of f is
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